ON THE PARABOLIC PARTITIONS OF A NUMBER

IF 0.2 Q4 MATHEMATICS

JP Journal of Algebra Number Theory and Applications Pub Date : 2023-07-13 DOI:10.17654/0972555523015

F. Vega

引用次数: 0

Abstract

The paper solves the enumeration of the set of partitions of in which the nondecreasing sequence of parts , is contained in a degree-2 polynomial . This is a generalization of the partitions of a number into arithmetic progressions. We also study the problem of dividing into parts whose differences between consecutive parts are consecutive integers. In particular, we focus on the problem of the sum of consecutive triangular numbers.

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关于一个数字的抛物线分割

本文解决了部分的非递减序列包含在一个2次多项式中的分区集的枚举问题。这是将一个数划分为等差数列的概括。我们还研究了连续部分之间的差为连续整数的分割问题。特别地，我们关注于连续三角形数和的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

JP Journal of Algebra Number Theory and Applications MATHEMATICS-

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期刊介绍： The JP Journal of Algebra, Number Theory and Applications is a peer-reviewed international journal. Original research papers theoretical, computational or applied, in nature, in any branch of Algebra and Number Theory are considered by the JPANTA. Together with the core topics in these fields along with their interplay, the journal promotes contributions in Diophantine equations, Representation theory, and Cryptography. Realising the need of wide range of information for any emerging area of potential research, the journal encourages the submission of related survey articles as well.